Euclid Contest 2012 - Study Guide

2012 Euclid Contest Study Guide

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• Problem 1

  Arithmetic, trigonometric sums, and averages
• Problem 2

  Linear equations and systems
• Problem 3

  Mixtures and temperature conversion
• Problem 4

  Parabola intersection and perfect squares
• Problem 5

  Triangle angles and trapezoid diagonals
• Problem 6

  Probability and exponential equations
• Problem 7

  Isosceles triangles and ferris wheel
• Problem 8

  Clock hands and logarithmic equations
• Problem 9

  Proofs: auditorium seating and quadrilateral areas
• Problem 10

  Eden sequences and combinatorics

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Problem 1

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Problem 2

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Problem 3

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Problem 4

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Problem 5

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Problem 6

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Problem 7

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Problem 8

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Problem 9

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Problem 10

An Eden sequence from is an increasing sequence where odd-positioned terms are odd and even-positioned terms are even.

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Key Topics Covered